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Chapter 6 Pre-Algebra Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Write the ratio as a fraction in simplest form.
 

 1. 

30 : 48
a.
mc001-1.jpg
b.
mc001-2.jpg
c.
mc001-3.jpg
d.
mc001-4.jpg
 

 2. 

Grace and Jamal each bought notebooks for school. Grace bought 3 notebooks for $3.90 while Jamal bought 2 notebooks for $2.20. What was the unit price of each student’s notebooks?
a.
Grace: $3.90; Jamal: $2.20
c.
Grace: $1.10; Jamal: $1.30
b.
Grace: $1.30; Jamal: $1.10
d.
Grace: $3.00; Jamal: $2.00
 

 3. 

Convert 2 qt/min to gallons per hour.
a.
8 gal/h
b.
120 gal/h
c.
30 gal/h
d.
3 gal/h
 
 
Solve the proportion.
 

 4. 

mc004-1.jpg
a.
882
b.
8
c.
84
d.
32
 

 5. 

mc005-1.jpg
a.
787.5
b.
320.5
c.
31.5
d.
3.5
 

 6. 

Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.
a.
mc006-1.jpg
c.
mc006-3.jpg
b.
mc006-2.jpg
d.
mc006-4.jpg
 

 7. 

Carpet Masters charges $9.50 per square yard to clean a carpet. If you have two rooms with an area of six square yards each, how much will it cost to have the carpets cleaned?
a.
$3.17
b.
$114
c.
$228
d.
$342
 

 8. 

Parallelogram PARL mc008-1.jpg parallelogram WXYZ. Find the value of c.
mc008-2.jpg
a.
45
b.
21
c.
3
d.
22
 

 9. 

A building 50 ft high casts a 75-ft shadow. Sarah casts a 6-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?
a.
4 ft
b.
5 ft
c.
3 ft
d.
not here
 

 10. 

Find P(rolling 2 or 5) with one number cube.
a.
mc010-1.jpg
b.
mc010-2.jpg
c.
mc010-3.jpg
d.
1
 

 11. 

You put the names of all the students in your class in a paper bag. There are 14 boys and 20 girls. If you draw a name at random, what is P(boy’s name)?
a.
mc011-1.jpg
b.
mc011-2.jpg
c.
mc011-3.jpg
d.
mc011-4.jpg
 

 12. 

A bag contains 3 green marbles and 8 white marbles. Suppose a marble is randomly selected. What are the odds in favor of picking a white marble?
a.
8 to 3
b.
8 to 11
c.
3 to 8
d.
3 to 11
 

 13. 

Find 78% of 380. Round to the nearest tenth of a percent if necessary.
a.
3.8
b.
29,640.0
c.
296.4
d.
487.2
 

 14. 

Emma already has read 6 of 20 books on her summer reading list. What percent of the books on her list has she read already?
a.
23.1%
b.
30.0%
c.
333.3%
d.
0.3%
 

 15. 

20 is 50% of what number? If necessary, round to the nearest tenth.
a.
10.0
b.
1000.0
c.
40.0
d.
0.4
 

 16. 

The Mogul Runners ski club planned a trip to Park City. Of the total number of members belonging, 11 signed up to go. If this is 25% of the club, how many total members does the ski club have?
a.
22 members
b.
3 members
c.
275 members
d.
44 members
 
 
Write the percent as a fraction or mixed number in simplest form.
 

 17. 

35%
a.
mc017-1.jpg
b.
mc017-2.jpg
c.
mc017-3.jpg
d.
mc017-4.jpg
 

 18. 

155%
a.
mc018-1.jpg
b.
mc018-2.jpg
c.
mc018-3.jpg
d.
mc018-4.jpg
 
 
Write the decimal as a percent.
 

 19. 

0.798
a.
0.0798%
b.
79.8%
c.
7.98%
d.
798%
 
 
Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
 

 20. 

mc020-1.jpg
a.
0.425%
b.
4.25%
c.
42.5%
d.
235.3%
 
 
Write an equation and solve. Round to the nearest tenth where necessary.
 

 21. 

What is 35% of 63?
a.
mc021-1.jpg; 180
c.
mc021-3.jpg; 2,205
b.
mc021-2.jpg; 22.05
d.
mc021-4.jpg; 22.05
 

 22. 

64 is 80% of what?
a.
mc022-1.jpg; 0.8
c.
mc022-3.jpg; 80
b.
mc022-2.jpg; 125
d.
mc022-4.jpg; 1.3
 

 23. 

21 is 35% of what number?
a.
mc023-1.jpg; 62.4
c.
mc023-3.jpg; 40.8
b.
mc023-2.jpg; 7.4
d.
mc023-4.jpg; 60
 

 24. 

Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent if necessary.
a.
25%
b.
0.3%
c.
33.3%
d.
133.3%
 

 25. 

The circulation of a newsletter decreased from 3,200 to 2,464. What was the percent of decrease in circulation?
a.
129%
b.
77%
c.
2.3%
d.
23%
 

 26. 

A toy store’s percent of markup is 35%. A model train costs the store $100. Find the markup.
a.
$135
b.
$35
c.
$285.71
d.
$65
 

 27. 

All swimming equipment is on sale with a 35% discount. A snorkeling set regularly sells for $60. Find the discount.
a.
$44.44
b.
$39
c.
$81
d.
$21
 

 28. 

At the beginning of 1995, the town of Canyon Ridge had 1,700 residents. The rate of population growth after that was 6% per year. Estimate the population at the beginning of 2005.
a.
about 102 residents
c.
about 3,502 residents
b.
about 3,044 residents
d.
about 1,802 residents
 

 29. 

Cell phones are becoming very popular at Poplar Middle School. In 2000, there were 15 students with cell phones. Each year the number of students with cell phones has increased by 20%. At this rate, how many students will have cell phones in 2007?
a.
44 students
b.
54 students
c.
35 students
d.
38 students
 

 30. 

‘The diagram shows the dimensions of the front of a storage building. What is the area of the entire front of the building?
mc030-1.jpg
a.
25 ft2
b.
20 ft2
c.
22.5 ft2
d.
2.5 ft2
 

 31. 

Uma is planning to decorate a blanket with this triangular shape. She plans to cut out 68 triangles with these dimensions. What will be the total area of the triangles?
mc031-1.jpg
a.
2,380 cm2
b.
35 cm2
c.
17.5 cm2
d.
1,190 cm2
 
 
Find the area of the trapezoid.
 

 32. 

mc032-1.jpg
a.
675 ft2
b.
337.5 ft2
c.
187.5 ft2
d.
150 ft2
 

Short Answer
 
 
Tell whether the two ratios form a proportion. Explain.
 

 33. 

sa033-1.jpg and sa033-2.jpg
 



 
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